Question
4. Which expression is equivalent to (3p +2)7
*
2 points
3p + 9
3p + 14
21p + 2
21p + 14
*
2 points
3p + 9
3p + 14
21p + 2
21p + 14
Answers
GPT-4o mini
To simplify the expression \((3p + 2) \cdot 7\), we can distribute the 7 to both terms inside the parentheses:
\[
(3p + 2) \cdot 7 = 3p \cdot 7 + 2 \cdot 7
\]
Calculating each part:
1. \(3p \cdot 7 = 21p\)
2. \(2 \cdot 7 = 14\)
Now, we can combine these results:
\[
21p + 14
\]
Therefore, the expression equivalent to \((3p + 2) \cdot 7\) is:
\[
\boxed{21p + 14}
\]
\[
(3p + 2) \cdot 7 = 3p \cdot 7 + 2 \cdot 7
\]
Calculating each part:
1. \(3p \cdot 7 = 21p\)
2. \(2 \cdot 7 = 14\)
Now, we can combine these results:
\[
21p + 14
\]
Therefore, the expression equivalent to \((3p + 2) \cdot 7\) is:
\[
\boxed{21p + 14}
\]